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Introduction au ∂∂̅-Neumann
Abstract
In this paper, we shall use the L2 existence theorems for ∂∂̅ provide by Guy Laville to etablish for existence theorem for the ∂∂̅-Neumann operator on any bounded pseudoconvex starred domaine Ω in ℂn based on the work of D. Spencer on the ∂̅-Neumann. As a result, we obtain a new method for resolving the $\partial\bar{\partial}. $
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BibTeX
@misc{samb2026introduction,
title = {{Introduction au $\partial\bar\partial$-Neumann}},
author = {Dieynaba Samb and Souhaibou Sambou and Mamadou Eramane Bodian and Salomon Sambou},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.21068},
eprint = {2609.21068},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.21068},
}
RIS
TY - UNPB
TI - Introduction au ∂∂̅-Neumann
AU - Dieynaba Samb
AU - Souhaibou Sambou
AU - Mamadou Eramane Bodian
AU - Salomon Sambou
PY - 2026
DA - 2026/09/17
PB - arXiv
DO - 10.48550/arxiv.2609.21068
UR - https://arxiv.org/abs/2609.21068
AB - In this paper, we shall use the L^2 existence theorems for ∂∂̅ provide by Guy Laville to etablish for existence theorem for the ∂∂̅-Neumann operator on any bounded pseudoconvex starred domaine Ω in ℂ^n based on the work of D. Spencer on the ∂̅-Neumann. As a result, we obtain a new method for resolving the $\partial\bar{\partial}. $
ER -